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Irina-Kira [14]
3 years ago
13

PEOPLE are waiting in line for a theater premiere.Every 6th person in line will receive a theater ticket.Every 8th person in lin

e will receive a gift card for $30.Which person will be the first to receive both prizes?
Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0
48. This is so because it's a simple multiplication problem. All you had to do was multiply 6 by 8 to get 48.
Hope this helps!
stich3 [128]3 years ago
6 0
This is a perfect example of a problem asking for the LCM (Least Common Factor). If every 6th person in line gets a prize, and every 8th person gets a prize, then those are the two numbers you have to use to find the LCM. Now let's list the multiples of both numbers:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

What is the first number you see that both numbers (6,8) have? I see 24 as the first number. So, in the line, the first person to get both the theater ticket and the gift card of $30 will be the 24th one. Hope this helps! :D
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Which equation results from adding the equations in this system? Negative 2 x + y = 8. 5 x minus y = negative 5.
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Answer:

x= 1.75 y= 6.75

Step-by-step explanation:

substitution method

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3 years ago
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I need health drink is 130% of the recommended daily allowance RDA for a certain vitamin the RDA for this vitamin is 45 MG. How
Lerok [7]

Answer:

58.5mg of the vitamin in a drink

Step-by-step explanation:

We know...

130% of RDA for vitamin x >> RDA for vitamin x = 45mg >> 130% of 45 = ?? mg in a drink.

1. 130% = \frac{130}{100} = 1.3

2. 130% of 45 >> 1.3(45)=58.5

I hope this helps you?!

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3 years ago
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At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is
Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

81% of students own a wireless device.

This means that p = 0.81

If 5 students are selected at random, what is the probability that all 5 have a wireless device?

This is P(X = 5) when n = 5. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.81)^{5}.(0.19)^{0} = 0.3487

34.87% probability that all 5 have a wireless device

5 0
3 years ago
A cylinder of radius 12cm and height 9cm.​
Ronch [10]
Area,Lateral surface Area, Surface Area, Circumference?
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Find the y-intercept of the following function:<br><br> <img src="https://tex.z-dn.net/?f=2x%20-%204y%20%3D%209" id="TexFormula1
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Hi there!

\large\boxed{0, -\frac{9}{4}  }

2x - 4y = 9

Begin by isolating the y variable by moving 2x to the right-hand side of the equation. (Subtract 2x from both sides):

2x - 2x - 4y = 9 - 2x

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Further isolate by dividing both sides by -4:

-4y / (-4) = (9 - 2x) / (-4)

y = -9/4 - 2x/(-4)

Simplify further:

y = -9/4 + 1/2x

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The "b" value is the y-intercept, therefore:

x = 0 at y = -9/4

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